What is 296/400 Simplified? (Reduce 296/400 to Lowest Terms: 37/50)

Exact Answer

296/400 = 37/50

Simplified Fraction

37/50

Mixed Number

Proper (37/50)

Decimal Value

0.74

Percentage

74%

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Step-by-Step Solution: 296/400 = 37/50

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 296: 1, 2, 4, 8, 37, 74, 148, 296
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(296, 400) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (296) and denominator (400) by 8.

296 ÷ 8/400 ÷ 8 = 37/50

Visual Representation

The diagram below illustrates Simplify 296/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/50`
Mixed Number Form	`37/50`
Decimal Form	`0.74`
Percentage	`74%`

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Frequently Asked Questions

What is 296/400 in simplest form?

296/400 simplified to lowest terms is 37/50.

What is the GCD (GCF) of 296 and 400?

The Greatest Common Divisor (GCD) of 296 and 400 is 8.

What are equivalent fractions to 296/400?

Equivalent fractions to 296/400 include 74/100, 111/150, and 148/200.